Circle Corner
Circle corner (a two-dimensional figure) is a right triangle having acute vertices on a circle with the hypotenuse outside the circle.- Chord is a line segment on the interior of a circle.
- Segment of a circle is an interior part of a circle bound by a chord and an arc.
area of a Circle Corner formula |
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| \(\large{ A = \frac{a\;b \;-\; r \; L \;+\; c \; \left(r \;-\; h\right) }{2 } }\) | ||
| Symbol | English | Metric |
| \(\large{ A }\) = area | \(\large{ft^2}\) | \(\large{m^2}\) |
| \(\large{ L }\) = arc length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ c }\) = chord length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ a, b }\) = edge | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ h }\) = segment height | \(\large{ft}\) | \(\large{m}\) |
Arc Length of a Circle Corner formula |
||
| \(\large{ L = r \; \Delta }\) | ||
| Symbol | English | Metric |
| \(\large{ L }\) = arc length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ \Delta }\) = angle | \(\large{deg}\) | \(\large{rad}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
Chord Length of a Circle Corner formula |
||
| \(\large{ c = a^2 \; b^2 }\) | ||
| Symbol | English | Metric |
| \(\large{ c }\) = chord length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ a, b }\) = edge | \(\large{ft}\) | \(\large{m}\) |
Height of a Circle Corner formula |
||
| \(\large{ h = r \; \left( 1 - cos \; \frac{\Delta}{2} \right) }\) | ||
| Symbol | English | Metric |
| \(\large{ h }\) = segment height | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ \Delta }\) = segment angle | \(\large{deg}\) | \(\large{rad}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
Perimeter of a Circle Corner formula |
||
| \(\large{ p = a + b + L }\) | ||
| Symbol | English | Metric |
| \(\large{ p }\) = perimeter | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ L }\) = arc length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ a, b }\) = edge | \(\large{ft}\) | \(\large{m}\) |
Segment Angle of a Circle Corner formula |
||
| \(\large{ \Delta = arccos \; \frac{ 2\;r^2 \;-\; c^2 }{2\;r^2} }\) | ||
| Symbol | English | Metric |
| \(\large{ \Delta }\) = segment angle | \(\large{deg}\) | \(\large{rad}\) |
| \(\large{ c }\) = chord length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
Tags: Area Perimeter Arc Length Chord Segment